Determine the area under the standard normal curve that lies to the left of (a) \( Z=0.99 \), (b) \( Z=-1.31 \), (c) \( Z=-1.37 \), and (d) \( Z=0.24 \). (a) The area to the left of \( Z=0.99 \) is \( \square \). (Round to four decimal places as needed.) (b) The area to the left of \( Z=-1.31 \) is \( \square \). (Round to four decimal places as needed.) (c) The area to the left of \( Z=-1.37 \) is \( \square \). (Round to four decimal places as needed.) (d) The area to the left of \( Z=0.24 \) is \( \square \). (Round to four decimal places as needed.)
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Bonus Knowledge
To find the area under the standard normal curve for the given Z-values, we typically refer to the standard normal distribution table or use a calculator equipped with statistical functions. (a) The area to the left of \( Z=0.99 \) is approximately \( 0.8365 \). (b) The area to the left of \( Z=-1.31 \) is approximately \( 0.0951 \). (c) The area to the left of \( Z=-1.37 \) is approximately \( 0.0853 \). (d) The area to the left of \( Z=0.24 \) is approximately \( 0.5948 \). Make sure to round to four decimal places as needed!
